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Finding the Fourth Proportional to 432,706.13, 649,203.38 and 272,597.22

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Solution

The fourth proportional to 432,706.13, 649,203.38 and 272,597.22 is: 408,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,706.13 : 649,203.38 = 272,597.22 : x
  2. Step 2: Convert to fraction form
    432,706.13/649,203.38 = 272,597.22/x
  3. Step 3: Cross multiply
    432,706.13x = 649,203.38 × 272,597.22
  4. Step 4: Simplify right side
    432,706.13x = 176,971,035,239.62
  5. Step 5: Solve for x
    x = 176,971,035,239.62/432,706.13
  6. Step 6: Final answer
    x = 408,986.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.